**RD Sharma Solutions Class 9** – Mathematics is a subject that requires a lot of practice in order to secure good marks in the exam. Students can download RD Sharma Solutions for class 9 given below so as to know the tricks to solve the questions. Class 10th requires the revision of basic concepts that students have studied earlier, and this is why it is essential to refer RD Sharma Solutions for Class 9. The students come across detailed topics in class 9, for instance, Mensuration, Geometry, Mensuration etc. This is why, to keep the students at ease, we have provided free PDFs of RD Sharma Solutions for class 9th below.

With these solutions, students do not have to remain dependent on the internet. The students can download these solutions once and can practice from them anytime they want.

## RD Sharma Solutions Class 9

These PDFs solutions are prepared by keeping in mind the latest syllabus Mathematics for Class 9th. With these solutions, the students can go a long way, get excellent marks, and eventually ace their exams.

**Solutions:**

### Topics Students Will Study in Class 9

The topics that are included in Class 9th Mathematics are given below.

- Chapter 1: Number System
- Chapter 2: Exponents of Real Numbers
- Chapter 3: Rationalisation
- Chapter 4: Algebraic Identities
- Chapter 5: Factorisation of Algebraic Expressions
- Chapter 6: Factorisation of Polynomials
- Chapter 7: Introduction to Euclid’s Geometry
- Chapter 8: Lines and Angles
- Chapter 9: Triangles and its Angles
- Chapter 10: Congruent Triangles
- Chapter 11: Coordinate Geometry
- Chapter 12: Heron’s Formula
- Chapter 13: Linear Equation in Two Variables
- Chapter 14: Quadrilaterals
- Chapter 15: Areas of Parallelograms and Circles
- Chapter 16: Circles
- Chapter 17: Constructions
- Chapter 18: Surface Area and Volume of Cuboid and a Cube
- Chapter 19: Surface Area and Volume of a Right Circular Cylinder
- Chapter 20: Surface Area and Volume of a Right Circular Cone
- Chapter 21: Surface Area and Volume of Circle
- Chapter 22: Tabular Representation of Data
- Chapter 23: Graphical Representation of Statistical Data
- Chapter 24: Measures of Central Tendencies
- Chapter 25: Probability

### Chapter 1: Number System

This chapter helps the students to understand the concepts of number system. From this chapter, the students can learn about the rational and irrational numbers, representation of real number on the number line, rationalisation, laws of exponents etc.

- RD Sharma Solutions Class 9 Chapter 1 Exercise 1.1
- RD Sharma Solutions Class 9 Chapter 1 Exercise 1.2
- RD Sharma Solutions Class 9 Chapter 1 Exercise 1.3
- RD Sharma Solutions Class 9 Chapter 1 Exercise 1.4

### Chapter 2: Exponents of Real Numbers

In this chapter, the students shall learn about the concepts to the present numbers in the exponential form. The students will get to know how to solve the powers using product law, power law and quotient law.

- RD Sharma Solutions Class 9 Chapter 2 Exercise 2.1
- RD Sharma Solutions Class 9 Chapter 2 Exercise 2.2

### Chapter 3: Rationalisation

The students will learn about the important concept of 9 Rationalisation. The students will learn various techniques to solve the algebraic identities like multiplying the denominator and numerator by root or conjugation method.

- RD Sharma Solutions Class 9 Chapter 3 Exercise 3.1
- RD Sharma Solutions Class 9 Chapter 3 Exercise 3.2

### Chapter 4: Algebraic Identities

As the name suggests, various algebraic identities are explained in this chapter. The students will get to know how to break the algebraic expression into LHS and RHS. Furthermore, the students will learn about different formulas to solve the algebraic identities.

- RD Sharma Solutions Class 9 Chapter 4 Exercise 4.1
- RD Sharma Solutions Class 9 Chapter 4 Exercise 4.2
- RD Sharma Solutions Class 9 Chapter 4 Exercise 4.3
- RD Sharma Solutions Class 9 Chapter 4 Exercise 4.4

### Chapter 5: Factorisation of Algebraic Expressions

There are 5 exercises in this chapter. In this chapter, the students will learn about the concept of factorization and what is the process to solve the algebraic expression using factorization method. The students will learn how to factorize using common factors, grouping of pairs, difference of squares.

- RD Sharma Solutions Class 9 Chapter 5 Exercise 5.1
- RD Sharma Solutions Class 9 Chapter 5 Exercise 5.2
- RD Sharma Solutions Class 9 Chapter 5 Exercise 5.3
- RD Sharma Solutions Class 9 Chapter 5 Exercise 5.4

### Chapter 6: Factorisation of Polynomials

This chapter particularly discusses what is meany by a Polynomial. There are 5 exercises in the chapter. The major topics that are covered in the chapter are zeroes of a polynomial, remainder theorem, factor theorem.

- RD Sharma Solutions Class 9 Chapter 6 Exercise 6.1
- RD Sharma Solutions Class 9 Chapter 6 Exercise 6.2
- RD Sharma Solutions Class 9 Chapter 6 Exercise 6.3
- RD Sharma Solutions Class 9 Chapter 6 Exercise 6.4
- RD Sharma Solutions Class 9 Chapter 6 Exercise 6.5

### Chapter 7: Introduction to Euclid’s Geometry

This chapter discusses about the great Egyptian Mathematician named Euclid. This students will get to know how his methods were useful to know many geometry concepts. It is in this chapter, the students will get to know the actual definition of a point, line, straight lines, edges etc. Other concepts that are covered in this chapter are Euclid’s Axioms, Euclid’s Postulates.

### Chapter 8: Lines and Angles

Different types of angles are discussed in this chapter like the complementary angle, supplementary angle, vertically opposite angle. This chapter particularly discusses the relationship between angles and lines. The students will get to know how angles are formed when two lines intersect each other and what happens when one line intersects more than one parallel line.

- RD Sharma Solutions Class 9 Chapter 8 Exercise 8.1
- RD Sharma Solutions Class 9 Chapter 8 Exercise 8.2
- RD Sharma Solutions Class 9 Chapter 8 Exercise 8.3
- RD Sharma Solutions Class 9 Chapter 8 Exercise 8.4

### Chapter 9: Triangles and its Angles

This chapter discusses the different categories of triangles such as acute, obtuse, right-angled triangle. Further, the students will learn about how are triangles categorized on the basis of their sides like scalene, isosceles, equilateral.

- RD Sharma Solutions Class 9 Chapter 9 Exercise 9.1
- RD Sharma Solutions Class 9 Chapter 9 Exercise 9.2

### Chapter 10: Congruent Triangles

The students will learn how to prove that triangles are congruent or not. Students will learn 4 rules of Congruent Triangles in this chapter such as Side-Side-Side, Right Angle-Hypotenuse Side, Angle-Side-Angle, Side-Angle-Side.

- RD Sharma Solutions Class 9 Chapter 10 Exercise 10.1
- RD Sharma Solutions Class 9 Chapter 10 Exercise 10.2
- RD Sharma Solutions Class 9 Chapter 10 Exercise 10.3
- RD Sharma Solutions Class 9 Chapter 10 Exercise 10.4
- RD Sharma Solutions Class 9 Chapter 10 Exercise 10.5
- RD Sharma Solutions Class 9 Chapter 10 Exercise 10.6

### Chapter 11: Coordinate Geometry

From this chapter, the students will learn about the rectangular coordinate plane and different methods to find the distance between two points. The students will get to know about the Cartesian system and Quadrants. Another concept that is explained in this chapter is Plotting on a graph.

### Chapter 12: Heron’s Formula

This chapter with the revision of earlier studied concepts like properties of different shapes and closed figures. To know the concepts in the chapter, the students have to first remember the formulas to calculate the perimeter of different shapes. Then, Heron’s Formula is explained in this chapter. The students will be explained how to find the area of quadrilaterals using Heron’s Formula.

- RD Sharma Solutions Class 9 Chapter 12 Exercise 12.1
- RD Sharma Solutions Class 9 Chapter 12 Exercise 12.2

### Chapter 13: Linear Equation in Two Variables

This chapter particularly discusses how to solve the linear equation in two variables and how its represented on a cartesian plane. Other topics like graph of a linear equation in two variables and equations related to parallel lines will also be learned in this chapter.

- RD Sharma Solutions Class 9 Chapter 13 Exercise 13.1
- RD Sharma Solutions Class 9 Chapter 13 Exercise 13.2
- RD Sharma Solutions Class 9 Chapter 13 Exercise 13.3
- RD Sharma Solutions Class 9 Chapter 13 Exercise 13.4

### Chapter 14: Quadrilaterals

In this chapter, the students will get to know about the different types of quadrilaterals and their properties. Also, the students will learn how to find angles of a given quadrilateral.

- RD Sharma Solutions Class 9 Chapter 14 Exercise 14.1
- RD Sharma Solutions Class 9 Chapter 14 Exercise 14.2
- RD Sharma Solutions Class 9 Chapter 14 Exercise 14.3
- RD Sharma Solutions Class 9 Chapter 14 Exercise 14.4

### Chapter 15: Areas of Parallelograms and Circles

This chapter includes the topics to find the area of various types of triangles like a right triangle, obtuse triangle, acute-angled triangle. Furthermore, in this chapter, the students will learn about the different types of quadrilaterals and different formulas to calculate the areas of parallelograms like Trapezium and Rhombus.

- RD Sharma Solutions Class 9 Chapter 15 Exercise 15.1
- RD Sharma Solutions Class 9 Chapter 15 Exercise 15.2
- RD Sharma Solutions Class 9 Chapter 15 Exercise 15.3

### Chapter 16: Circles

This chapter discusses various theorems about Circles such as Alternate Segment, Thale’s and Perpendicular Tangent. Other topics that are explained in this chapter are equal chords and their distances from the centre, angles subtended by an arc of a circle, cyclic quadrilaterals etc.

- RD Sharma Solutions Class 9 Chapter 16 Exercise 16.1
- RD Sharma Solutions Class 9 Chapter 16 Exercise 16.2
- RD Sharma Solutions Class 9 Chapter 16 Exercise 16.3
- RD Sharma Solutions Class 9 Chapter 16 Exercise 16.4

### Chapter 17: Constructions

The students shall learn about the various methods to construct a geometrical figure. In this chapter, the students will get to know how to bisect a given angle, how to draw a perpendicular bisector of a given line segment, how to construct angles of different degrees. Later, in the chapter, the students will learn how to construct different types of triangles.

### Chapter 18: Surface Area and Volume of Cuboid and a Cube

This chapter starts with introducing geometrical shapes like cube and cuboid. Later, in the chapter, the formulas are discussed to calculate the surface area and volume of cube and cuboid.

- RD Sharma Solutions Class 9 Chapter 18 Exercise 18.1
- RD Sharma Solutions Class 9 Chapter 18 Exercise 18.2

### Chapter 19: Surface Area and Volume of a Right Circular Cylinder

Here in this chapter, the students shall learn about another 3D Geometrical shape known as Cylinder. The students shall learn about the formula to calculate the surface area and volume of a cylinder.

- RD Sharma Solutions Class 9 Chapter 19 Exercise 19.1
- RD Sharma Solutions Class 9 Chapter 19 Exercise 19.2

### Chapter 20: Surface Area and Volume of a Right Circular Cone

This chapter has two exercises in total. This chapter discusses the important formulas to calculate the dimensions of a right circular cone.

- RD Sharma Solutions Class 9 Chapter 20 Exercise 20.1
- RD Sharma Solutions Class 9 Chapter 20 Exercise 20.2

### Chapter 21: Surface Area and Volume of Circle

The students shall learn various formulas required to calculate the area and volume of a sphere. The students will get to know how to find the area when the radius is given and how to find the area of sphere when the diameter is given.

- RD Sharma Solutions Class 9 Chapter 21 Exercise 21.1
- RD Sharma Solutions Class 9 Chapter 21 Exercise 21.2

### Chapter 22: Tabular Representation of Data

From this chapter, the students will get to know how to represent primary data and secondary data using tables. Then, later in the chapter, the students will get to know how data is presented using tally marks and frequency distribution.

- RD Sharma Solutions Class 9 Chapter 22 Exercise 22.1
- RD Sharma Solutions Class 9 Chapter 22 Exercise 22.2

### Chapter 23: Graphical Representation of Statistical Data

This chapter discusses why it is important to present the data by using various diagrams. In this chapter, the students will be explained to draw various graphs like a line graph, bar graph, histograms, circle graphs, frequency table etc.

- RD Sharma Solutions Class 9 Chapter 23 Exercise 23.1
- RD Sharma Solutions Class 9 Chapter 23 Exercise 23.2

### Chapter 24: Measures of Central Tendencies

In this chapter, the students will learn about the mean, mode, and median. There are 4 exercises in this chapter. The students will also get to know certain important formulas to calculate the mean, mode and median.

- RD Sharma Solutions Class 9 Chapter 24 Exercise 24.1
- RD Sharma Solutions Class 9 Chapter 24 Exercise 24.2
- RD Sharma Solutions Class 9 Chapter 24 Exercise 24.3
- RD Sharma Solutions Class 9 Chapter 24 Exercise 24.4

### Chapter 25: Probability

The students will learn about the earlier studied concept named as Probability. The students are once again explained how to depict the possible outcomes of an uncertain event. The students also get to learn the theorems on probability, various events such as mutually exclusive, complementary, equally likely.

### About RD Sharma Solutions for Class 9

Technology has tremendously changed our lives and now it has become all the more essential to enhance our teaching ways as well. With RD Sharma Solutions for Class 9th, the students can actually get to know various shortcuts to solve questions. RD Sharma is one of the most popular reference books that is used by many students for the preparation of exams. Not just students, many teachers use it to substantiate their teaching at schools.

These days coaching plays an important role in shaping a student’s future, however, parents have to spend a lot of fortune in order to find a proper tutor for their children. Many times, group tuitions are not able to serve their function of reducing the students’ doubts. By downloading these free PDF RD Sharma Solutions, the students have the flexibility to analyze the questions freely for as much time as they want and clear their doubts. By accessing these solutions, the students can have fewer distractions and can easily understand a particular concept.

**Benefits of Using RD Sharma Solutions for Class 9th**

- The solutions are provided in the PDF format i.e. students have to just click on the respective chapter and download its PDF.
- A proper structure is followed while explaining the solutions.
- The solutions are well explained with the proper illustrations in order to help the students in order to understand the topic.

### Other Classes RD Sharma Solutions

## FAQs for RD Sharma Solutions for Class 9

### What are the different types of Graphical Representation?

The data can be represented by using line graphs, bar graphs, histograms, frequency table etc.

### What are the merits of using graphs?

By representing the data on the graphs, it becomes easier to grasp the data. It actually saves time and one can draw analysis after comparing the graphs.

### What are the different types of triangles that are introduced in class 9th?

The students will be explained how to make a triangle when base angles are given and the sum of all sides are given, when the base angle is given and the difference of two sides are given etc.

### How many chords a circle can have?

A circle can have infinite chords.

### What are Congruent Triangles?

Congruent Triangles are those that have three sides and three angles equal.

### What are the rules to prove that the triangles are congruent?

There are 4 rules to prove congruency such as SSS, SAS, ASA and RHS.

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